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Finding the Fourth Proportional to 1,373.78, 1,894.92 and 953.92

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Solution

The fourth proportional to 1,373.78, 1,894.92 and 953.92 is: 1,315.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.78 : 1,894.92 = 953.92 : x
  2. Step 2: Convert to fraction form
    1,373.78/1,894.92 = 953.92/x
  3. Step 3: Cross multiply
    1,373.78x = 1,894.92 × 953.92
  4. Step 4: Simplify right side
    1,373.78x = 1,807,602.09
  5. Step 5: Solve for x
    x = 1,807,602.09/1,373.78
  6. Step 6: Final answer
    x = 1,315.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.